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Finding the Third Proportional to 5,772.75 and 12,640.13

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Solution

The third proportional to 5,772.75 and 12,640.13 is: 27,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.75 : 12,640.13 = 12,640.13 : x
  2. Step 2: Convert to fraction form
    5,772.75/12,640.13 = 12,640.13/x
  3. Step 3: Cross multiply
    5,772.75x = 12,640.13 × 12,640.13
  4. Step 4: Simplify right side
    5,772.75x = 159,772,760.02
  5. Step 5: Solve for x
    x = 159,772,760.02/5,772.75
  6. Step 6: Final answer
    x = 27,677.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.